Let the function \( f:[0,1] \rightarrow \mathbb{R} \) be defined by math xmlns=http://www.w3.org...

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Let the function \( f:[0,1] \rightarrow \mathbb{R} \) be defined by
math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymif/mimo(/momix/mimo)/momo=/momfracmsupmn4/mnmix/mi/msupmrowmsupmn4/mnmix/mi/msupmo+/momn2/mn/mrow/mfrac/math
Then the value of
\( \mathrm{f}\left(\frac{1}{40}\right)+\mathrm{f}\left(\frac{2}{40}\right)+\mathrm{f}\left(\frac{3}{40}\right)+\ldots .+\mathrm{f}\left(\frac{39}{40}\right)-\mathrm{f}\left(\frac{1}{2}\right) \) is ....
 
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